Show that the points (1,1),(-1,-1) and (`-sqrt3,sqrt3`) are the vertices of an equilateral triangle.

Explanation

`therefore absbar(AB) = sqrt((-1-1)^2 + (-1-1)^2) = 2sqrt2` Slope of
`absbar(BC) sqrt((-1+sqrt3)^2 + (-1-sqrt3)^2)`
= `sqrt(2)(1+3) = 2sqrt2`
`absbar(AC) = sqrt((1+sqrt3)^2 + (1-sqrt3)^2)`
= sqrt(2)(1+3) = 2sqrt2`
`therefore barAB = barBC = barAC`
`therefore` ABC is an equilateral triangle.